B. WPA-EAP (Wi-Fi Protected Access - Extensible Authentication Protocol).
WPA-EAP provides a stronger form of authentication compared to a simple Pre-Shared Key (PSK). It uses an Extensible Authentication Protocol (EAP) framework, which allows for more advanced authentication methods such as username and password, digital certificates, or token-based authentication. By requiring users to authenticate using stronger credentials, WPA-EAP makes it significantly more difficult for unauthorized devices to gain access to the wireless network through brute force attacks on the PSK.
While options like BPDU guard (A), IP filtering (C), and a WIDS (Wireless Intrusion Detection System) (D) may provide additional security measures, implementing WPA-EAP is specifically targeted at strengthening authentication for wireless access, making it the most effective solution for preventing unauthorized access via brute force attacks on the PSK.